Search a number
-
+
207422141420 = 225133141683919
BaseRepresentation
bin1100000100101101010…
…0101011001111101100
3201211101121100112110002
43001023110223033230
511344300032011140
6235142144203432
720662054053164
oct3011324531754
9654347315402
10207422141420
117aa7043397a
1234249309578
1316737c19730
14a079b275a4
1555ded77415
hex304b52b3ec

207422141420 has 192 divisors, whose sum is σ = 497302364160. Its totient is φ = 72123955200.

The previous prime is 207422141413. The next prime is 207422141467. The reversal of 207422141420 is 24141224702.

207422141420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225703721 + ... + 225704639.

It is an arithmetic number, because the mean of its divisors is an integer number (2590116480).

Almost surely, 2207422141420 is an apocalyptic number.

207422141420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207422141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248651182080).

207422141420 is an abundant number, since it is smaller than the sum of its proper divisors (289880222740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

207422141420 is a wasteful number, since it uses less digits than its factorization.

207422141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The spelling of 207422141420 in words is "two hundred seven billion, four hundred twenty-two million, one hundred forty-one thousand, four hundred twenty".